4/x=x/49

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Solution for 4/x=x/49 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

4/x = x/49 // - x/49

4/x-(x/49) = 0

4*x^-1-1/49*x^1 = 0

(4*x^0-1/49*x^2)/(x^1) = 0 // * x^2

x^1*(4*x^0-1/49*x^2) = 0

x^1

(-1/49)*x^2+4 = 0

(-1/49)*x^2+4 = 0

DELTA = 0^2-(4*4*(-1/49))

DELTA = 16/49

DELTA > 0

x = ((16/49)^(1/2)+0)/(2*(-1/49)) or x = (0-(16/49)^(1/2))/(2*(-1/49))

x = -14 or x = 14

x in { -14, 14} 

x in { -14, 14 }

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